What is the Greatest Common Factor of 8010 and 8025?

Greatest common factor (GCF) of 8010 and 8025 is 15.

GCF(8010,8025) = 15

We will now calculate the prime factors of 8010 and 8025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8010 and 8025.

How to find the GCF of 8010 and 8025?

We will first find the prime factorization of 8010 and 8025. After we will calculate the factors of 8010 and 8025 and find the biggest common factor number .

Step-1: Prime Factorization of 8010

Prime factors of 8010 are 2, 3, 5, 89. Prime factorization of 8010 in exponential form is:

8010 = 2¹ × 3² × 5¹ × 89¹

Step-2: Prime Factorization of 8025

Prime factors of 8025 are 3, 5, 107. Prime factorization of 8025 in exponential form is:

8025 = 3¹ × 5² × 107¹

Step-3: Factors of 8010

List of positive integer factors of 8010 that divides 8010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005

Step-4: Factors of 8025

List of positive integer factors of 8025 that divides 8010 without a remainder.

1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8010 and 8025. The biggest common factor number is the GCF number.
So the greatest common factor 8010 and 8025 is 15.

Also check out the Least Common Multiple of 8010 and 8025